Polarized superspecial abelian varieties over ${\mathbb{F}}_p$ via hermitian lattices

Yucui Lin, Jiangwei Xue, Chia-Fu Yu

We study the set of isomorphism classes of polarized superspecial abelian varieties $(A,\hat{I}»)$ of a fixed dimension over ${\mathbb{F}}_p$ with Frobenius endomorphism $\ddot{I}{€}_A=\sqrt{-p}$ a…